Jill invest $400 in a savings bond. The value of the bond V(x) in hundreds of dollars after x years is illustrated in the table below. Which equation and statement illustrate the approximate value of the bond in hundreds of dollars over time in years?

Answers

Answer 1

Answer:

V(x) = 4(1.35)x, and it grows.

Step-by-step explanation:

Jill Invest $400 In A Savings Bond. The Value Of The Bond V(x) In Hundreds Of Dollars After X Years Is
Answer 2

The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:

"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the given data points to approximate the relationship between the value of the bond and time by fitting a curve that best fits the points.

Based on the given data,

It seems that the value of the bond is increasing at an accelerating rate over time.

We can try to approximate this relationship by fitting a quadratic equation to the data.

Let's assume that the relationship between the value of the bond and time can be approximated by the quadratic equation:

V(x) = ax² + bx + c

where V(x) is the value of the bond in hundreds of dollars after x years, and a, b, and c are constants to be determined.

To solve for a, b, and c, we can use the three data points for which we have values of V(x):

V(0) = 4, V(1) = 5.4, V(2) = 7.29

Substituting these values into the equation.

a(0)² + b(0) + c = 4

a(1)² + b(1) + c = 5.4

a(2)² + b(2) + c = 7.29

Simplifying.

c = 4

a + b + c = 5.4

4a + 2b + c = 7.29

Substituting c = 4.

a + b = 1.4

4a + 2b = 3.29

Solving for a and b.

a = 0.725

b = 0.675

Now,

The equation that approximates the relationship between the value of the bond and time is:

V(x) = 0.725x² + 0.675x + 4

This equation tells us that the value of the bond is increasing at an accelerating rate over time, starting at $400 (or 4 hundred dollars) and increasing by approximately 0.725 hundred dollars for each year squared, plus 0.675 hundred dollars for each year, plus a constant 4 hundred dollars. For example, after 5 years, the value of the bond would be approximately:

V(5) = 0.725(5)² + 0.675(5) + 4 = 23.75

Therefore,

The statement that illustrates the approximate value of the bond in hundreds of dollars over time in years is:

"The value of the bond can be approximated by the quadratic equation V(x) = 0.725x² + 0.675x + 4.

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Jill Invest $400 In A Savings Bond. The Value Of The Bond V(x) In Hundreds Of Dollars After X Years Is

Related Questions

Write the slope-intercept form of the line given point and slope. ( show work if possible please)

through: (-2,-5), slope = 5 ​

Answers

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?

Answers

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

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Which of the following is a radical equation?
O x+ √5 - 12.
O x2 = 16
O 3+x7 - 13
0 7 √x = 14

Answers

Answer:

7√x = 14

Step-by-step explanation:

A radical equation is an equation in which a variable is under a radical. Out of all the equations, the only answer with x under the radical (square root symbol) is 7√x = 14.

The equation which is a radical equation from the given answer choices is; 7 √x = 14.

What is a radical equation?

According to the task content;

It follows that we are required to determine the equation which is a radical equation.

On this note, the required equation is 7 √x = 14 because the variable is under a radical.

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Question 2
A laboratory did 36 blood tests on Monday, 43 on Tuesday,
29 on Wednesday, and 48 on Thursday. What is the mean
(average) number of blood tests the lab did each day?
answer choices :
o 45
o 42
o 39
0 33

Answers

Answer:

The answer is 39.

Step-by-step explanation:

The average is the total amount of blood tests divided by the number of days.

Total: 36 + 43 + 29 + 48 = 156 blood tests / 4 days =  39 blood tests per day.

The value of [-10] is?
A.11
B.-10
C.-9

Answers

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.

Answers

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

CONVERT THE PERCENTAGES FRACTION 140%​

Answers

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Brainliest. Please aced and expert help me out here.

Answers

Answer:

The following statements are true.

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Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers

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Answers

Answer:

IH < IG < HG

Step-by-step explanation:

To solve this equation remember that angle measurements correspond with sides. So, the largest angle will be opposite of the longest side and the smallest angle will be opposite of the shortest side.

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Which of the fractions is equivalent to 2/3

Answers

Answer:

4/6

6/9

12/18

8/12

5/10

Step-by-step explanation:,,

Answer:

The answers are 4/6 and 6/9.

Step-by-step explanation:

PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW

Answers

9514 1404 393

Answer:

  32 in²

Step-by-step explanation:

The area is given by ...

  A = bh

  A = (8 in)(4 in) = 32 in²

The area of the parallelogram is 32 square inches.

PLEASE HELP ME PLEASE!

Answers

Answer:

-4 and d

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

x = d

x = -4

Step-by-step explanation:

not sure i tried

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

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Answers

Answer:

209

Step-by-step explanation:

subtract

Answer:

209

Step-by-step explanation:

subtraction bro

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Answers

Answer:

true

Step-by-step explanation:

join a, b, c the attach the value A to C=9, B to C=7, and B to A=16

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Answers

Answer:

3x+16

Step-by-step explanation:

True or False
You can only multiply exponents when the bases are the same.

Answers

Answer:

The answer is false

Answer:

False

Step-by-step explanation:

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Answers

Answer:

y = -1/4x - 5/2

Step-by-step explanation:

-2- -4 /-1-7 = 2/-8 = -1/4

y+2 = -1/4(x+2)

y+2 = -1/4x - 1/2

y = -1/4x -5/2

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Answers

Answer:

6.5

Step-by-step explanation:

13 divided by 2 = 6.5

Find the common ratio of the geometric sequence 7,63,567, ...

Answers

Answer:

Step-by-step explanation:

Answer: 9

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Answers

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What is the answer for 1+4?

Answers

Answer:

man thats really hard i think youve gotta ask a professional for that

Step-by-step explanation:

Answer:

1+4=5

1-4=-3 (3)

1 x 4= 4

1/4 =4

Step-by-step explanation:

The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.3 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)

Answers

Answer:

the value of the test statistic is 2.43

Step-by-step explanation:

The computation of the value of the test statistic is shown below:

[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]

[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]

= 2.43

Hence, the value of the test statistic is 2.43

The same would be considered and relevant by applying the above formula  

What fraction is less than 3/4?

Answers

Answer:1/2

Step-by-step explanation:3/4 equals 75% but 1/2 equals 50%

find the area ojefwo rgw hercpx

Answers

Answer:

3.14, radius of this circle is 1 and 1^2 is 1 and 1x3.14 is 3.14

Step-by-step explanation:



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Answer:

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Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

How does the stimulus check impact society please help me please i really need help please

Answers

Answer:

It helps families who or who do not have the resources and helps them with money issues

Step-by-step explanation:

hope it helps

. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?

Answers

Answer:

8

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

Pls help BRAINLYEST FOR BEST ANSWER YAYA

Answers

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

21

Answer:

21

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